Find the derivative of the function by the limit process. g(t) = t³ + 6t g'(t) =

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Q: 5). Use the Integral Test to determine whether the infinite series is convergent.   ∞ 7n (n2 +…

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A: Topic:- application of integration

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Q: By choosing the apprpriate points, solve the root of 3x3 - 4x2 - 3x - 2 = 0 using Secant Method.

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Q: 14. Determine the line integral of a scalar function z = x cos y + In(xy) where x(t) = t² and y(t) =…

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Q: nsider the parametric equations below. x=²-2, y=t+1, -3 ≤t≤ 3 (a) Sketch the curve by using the…

A: Please see the below picture for detailed solution.

Q: 8. Estimate the value of x³dx by using the Trapezoidal Rule with n = 4. 8 19 22 36

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Q: Sketch the plane curve. r(t) = 2ti - tj, [0, 2] -1 -1 y 2 1 -1 -2 y 1 -1 -2F 1 Need Help? Watch It…

A: The objective of the question sketch the given curve and determine its length.

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Q: 2. Set up the triple integral to find the volume inside x² + y² = 9, above z = 0, and below x+z = 4.…

A: Solution is given below:

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Q: I) Given a triangle with interior angles a, 3,7, and opposite sides with lengths a, b, c…

A: SOLUTION   GIVEN DATA- a=1,b=6-22,γ=135°,α=?Interior angles-α,β,γ and opposite side lengths a,b,c…

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Q: If f(x) = cos x - 6 tan x, then find: ƒ'(x) = ƒ'(5) = A 9-

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Q: 17-22 Determine whether the series is convergent or divergent by expressing s, as a telescoping sum…

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Q: Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then L-¹{F(s)G(s)} = f(t)g(t). O True O…

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Q: Find r(t). u(t). r(t) = (7t − 4)i + 1⁄2t³j + 2k u(t) = t²i8j + t³k r(t). u(t) Is the result a…

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Q: Use Lagrange multipliers to find the maximum value of f(x, y) = 6x + 6xy +y where x >0 and y>0…

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Q: pulation of a city, in millions, since 1990 has grown at a rate of P'(t) = 0.11 e 0.01 r of years…

A: Topic:- application of integration

Q: Consider the following. - fx sec² t dt (a) Integrate to find F as a function of x. F(x) = F(x) = (b)…

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Q: 8

A: Given that          curve              r(t)  = 4t i^ +2t2 j^             we have to evaluate   the…

Q: Question 4 Find the derivatives of the following: i) iii) f(x)=5 (4x+7)(x-3) (x-2) f(x)=(3x + 1)4(2x…

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Q: ). For the sequence, determine if the divergence test applies and either state that lim n→∞ an does…

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Q: Use the model A = Pet or A = P1+ for years. If a couple has $50,000 in a retirement account, how…

A: Please see the below picture for detailed solution.

Q: Use Green's Theorem to evaluate the line integral. by² dx + xy c C: boundary of the region lying…

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